243400010400 has 180 divisors, whose sum is σ = 887632746462. Its totient is φ = 64906652160.

The previous prime is 243400010369. The next prime is 243400010401. The reversal of 243400010400 is 4010004342.

It can be written as a sum of positive squares in 3 ways, for example, as 170830115856 + 72569894544 = 413316^2 + 269388^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (243400010401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1813287 + ... + 1942886.

Almost surely, 2^243400010400 is an apocalyptic number.

243400010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243400010400 is an abundant number, since it is smaller than the sum of its proper divisors (644232736062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243400010400 is a wasteful number, since it uses less digits than its factorization.

243400010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756205 (or 3756183 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 243400010400 its reverse (4010004342), we get a palindrome (247410014742).

The spelling of 243400010400 in words is "two hundred forty-three billion, four hundred million, ten thousand, four hundred".